Abstract
This study presents H ∞ norm and mixed H 2 / H ∞ norm optimal designs of digital synthesis filters of a hybrid filter bank. The problem for designing finite-impulse response (FIR) synthesis filters is cast as a H ∞ optimisation or mixed H 2 / H ∞ optimisation problem by constructing a hybrid-induced error system. Both the problems can be solved using the theory of linear matrix inequalities such that FIR filters are directly obtained without truncation of infinite impulse responses. Two design examples are provided to illustrate the effectiveness of the proposed approaches.
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